Nonlinear responses and stability analysis of viscoelastic nanoplate resting on elastic matrix under 3:1 internal resonances

The effect of the viscidity of the nanoplate on the nonlinear response for the case that the second mode is directly excited is illustrated in the following figure. From the results, it is rather novel that the frequency range for the steady-state response is diminished tremendously with the increase of the viscous damping. Response curves of the second mode as Ω ≈ ω20, ω20≈ 3ω10 with different viscous damping parameters (μ = 2 nm).97